Q. 184.5( 4 Votes )

# Using binominal theorem, evaluate each of the following :(i) (101)4 (ii) (98)4(iii)(1.2)4

(i) (101)4

To find: Value of (101)4

Formula used: (i)

(ii) (a+b)n = nC0an + nC1an-1b + nC2an-2b2 + …… +nCn-1abn-1 + nCnbn

101 = (100+1)

Now (101)4 = (100+1)4

(100+1)4 =

= 104060401

Ans) 104060401

(ii) (98)4

To find: Value of (98)4

Formula used: (I)

(ii) (a+b)n = nC0an + nC1an-1b + nC2an-2b2 + …… +nCn-1abn-1 + nCnbn

98 = (100-2)

Now (98)4 = (100-2)4

(100-2)4

= 92236816

Ans) 92236816

(iii) (1.2)4

To find: Value of (1.2)4

Formula used: (i)

(ii) (a+b)n = nC0an + nC1an-1b + nC2an-2b2 + …… +nCn-1abn-1 + nCnbn

1.2 = (1 + 0.2)

Now (1.2)4 = (1 + 0.2)4

(1+0.2)4

= 2.0736

Ans) 2.0736

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